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Finding the Fourth Proportional to 343,883.20, 515,824.80 and 202,165.60

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Solution

The fourth proportional to 343,883.20, 515,824.80 and 202,165.60 is: 303,248.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,883.20 : 515,824.80 = 202,165.60 : x
  2. Step 2: Convert to fraction form
    343,883.20/515,824.80 = 202,165.60/x
  3. Step 3: Cross multiply
    343,883.20x = 515,824.80 × 202,165.60
  4. Step 4: Simplify right side
    343,883.20x = 104,282,030,186.88
  5. Step 5: Solve for x
    x = 104,282,030,186.88/343,883.20
  6. Step 6: Final answer
    x = 303,248.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.